New Weyl-invariant vector-tensor theory for the cosmological constant

Abstract

We introduce a new Weyl-invariant and generally-covariant vector-tensor theory with higher derivatives. This theory can be induced by extending the mimetic construction to vector fields of conformal weight four. We demonstrate that in gauge-invariant variables this novel theory reduces to the Henneaux-Teitelboim description of the unimodular gravity. Hence, compared with the standard general relativity, our new higher derivative vector-tensor theory has only one new global degree of freedom - the cosmological constant. Finally we discuss potential extensions of this vector-tensor theory.

arXiv comment9 pages+references, comments are welcome

References in corpus (55)

• Modified Gravity and Cosmology
• The Dynamics of General Relativity
• Gravity with a dynamical preferred frame
• Everything You Always Wanted To Know About The Cosmological Constant Problem (But Were Afraid To Ask)
• Universality Class in Conformal Inflation
• Transforming gravity: from derivative couplings to matter to second-order scalar-tensor theories beyond the Horndeski Lagrangian
• The Relation between Physical and Gravitational Geometry
• Generalization of the Proca Action
• A systematic approach to generalisations of General Relativity and their cosmological implications
• Mimetic Dark Matter
• Cosmic Acceleration from Abelian Symmetry Breaking
• On the Trace-Free Einstein Equations as a Viable Alternative to General Relativity
• Cosmology with Mimetic Matter
• Derivative self-interactions for a massive vector field
• Dust of Dark Energy
• Arbitrary p-form Galileons
• Transverse Fierz-Pauli symmetry
• On the recently proposed Mimetic Dark Matter
• Scale invariance, new inflation and decaying Lambda terms
• Beyond generalized Proca theories
• Can one tell Einstein's unimodular theory from Einstein's general relativity?
• The Trace-Free Einstein Equations and inflation
• A note on classical and quantum unimodular gravity
• Extended vector-tensor theories
• Alive and well: mimetic gravity and a higher-order extension in light of GW170817
• Quantum Corrections to Unimodular Gravity
• Extended mimetic gravity: Hamiltonian analysis and gradient instabilities
• Mimetic dark matter, ghost instability and a mimetic tensor-vector-scalar gravity
• Dark matter as a ghost free conformal extension of Einstein theory
• Imperfect Dark Matter
• Mimetic gravity as DHOST theories
• Fake Conformal Symmetry in Conformal Cosmological Models
• How unimodular gravity theories differ from general relativity at quantum level
• Instabilities in Mimetic Matter Perturbations
• On the UV structure of quantum unimodular gravity
• NEC violation in mimetic cosmology revisited
• Unimodular quantum gravity and the cosmological constant
• Living with ghosts in Horava-Lifshitz gravity
• The path integral of unimodular gravity
• Semiclassical Unimodular Gravity
• Modified Dust and the Small Scale Crisis in CDM
• Darkness without dark matter and energy -- generalized unimodular gravity
• Hamiltonian analysis of mimetic scalar gravity revisited
• Spacetime and dark matter from spontaneous breaking of Lorentz symmetry
• Gauge Field Mimetic Cosmology
• Initial Conditions for Imperfect Dark Matter
• Gravitational focusing of Imperfect Dark Matter
• Vector disformal transformation of generalized Proca theory
• On p-form theories with gauge invariant second order field equations
• Fake Conformal Symmetry in Unimodular Gravity
• Vector disformal transformation of cosmological perturbations
• The role of conformal symmetry in gravity and the standard model
• Classifying Galileon $p$-form theories
• What do gravitons say about (unimodular) gravity?
• Conformal symmetry and the cosmological constant problem

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• Dynamics of the generalized unimodular gravity theory
• Diffusion in unimodular gravity: Analytical solutions, late-time acceleration, and cosmological constraints
• Unimodular Gauge in Perturbative Gravity and Supergravity
• Interacting dark sector from the trace-free Einstein equations: cosmological perturbations with no instability
• Disforming to Conformal Symmetry
• Non-minimal Tinges of Unimodular Gravity
• Disformal map and Petrov classification in modified gravity
• Quantum cosmology of a dynamical Lambda
• Gravity waves in parity-violating Copernican Universes
• Generalized unimodular gravity as a form of k-essence
• Noether charge formalism for Weyl transverse gravity
• Gauge symmetry of unimodular gravity in Hamiltonian formalism
• TDiff invariant gauge fields in cosmology
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